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Proceedings Paper

Uniform approximation of wavelet coefficients
Author(s): T. D. Svenson; Jo A. Ward; K. J. Harrison
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Paper Abstract

Mallat's pyramid algorithm relates the scaling coefficients of a function at one level to the scaling and wavelet coefficients at lower levels. In practice, the scaling coefficients are estimated at some level m, and the algorithm is used to produce estimates of the scaling and wavelet coefficients at lower levels. Initial errors propagate to lower level estimates. this paper descries conditions under which this process generates estimates which are uniformly reliable at a particular level, and under which the errors at that level tend uniformly to zero as m increases.

Paper Details

Date Published: 23 October 1996
PDF: 10 pages
Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255231
Show Author Affiliations
T. D. Svenson, Univ. of Sydney (Australia)
Jo A. Ward, Murdoch Univ. (Australia)
K. J. Harrison, Murdoch Univ. (Australia)


Published in SPIE Proceedings Vol. 2825:
Wavelet Applications in Signal and Image Processing IV
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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